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Gnesinka [82]
2 years ago
12

If f(x) = х2 – 2x and g(x) = 6х +4, for which vаluе оf x does (f+g)(x) = 0?

Mathematics
2 answers:
lana66690 [7]2 years ago
5 0

x²+4x+4=0

(x+2)(x+2)=0

x= -2

f(g(x))=0

f(6x+4)=0

f(0)=0

x=-4/6

i did it in to step because i didnt understand what you mean we you write (f+g)(x)

but probably the first answer is the correct one

fredd [130]2 years ago
3 0

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= x² - 2x + 6x + 4

= x² + 4x + 4

Then

x² + 4x + 4 = 0 ← in standard form

(x + 2)² = 0 ← in factored form

x + 2 = 0

x = - 2

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1. Suppose you have a variable X~N(8, 1.5). What is the probability that you have values between (6.5, 9.5)
Natalija [7]

Answer:

0.6826 = 68.26% probability that you have values in this interval.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

X~N(8, 1.5)

This means that \mu = 8, \sigma = 1.5

What is the probability that you have values between (6.5, 9.5)?

This is the p-value of Z when X = 9.5 subtracted by the p-value of Z when X = 6.5. So

X = 9.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{9.5 - 8}{1.5}

Z = 1

Z = 1 has a p-value of 0.8413.

X = 6.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.5 - 8}{1.5}

Z = -1

Z = -1 has a p-value of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that you have values in this interval.

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3 years ago
Word form 9,000,900,009
Aleonysh [2.5K]
Nine billion, nine hundred thousand, nine.
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3 years ago
For #7 Find the measure of each numbered angle in the rectangle?
jok3333 [9.3K]

Answer:



A rectangle is a geometric figure in which all four angles are 90 degrees. So if you have a missing side and it is a true rectangle, then you know the missing angle is 90 degrees. However, you could be working with a rectangle that is slanted. This is known as a parallelogram. To find the missing angle in such a case, you need to know that all the angles will add up to 360 degrees.


Write out the three known sides. For example, assume you have angles of 120, 120 and 60.


Write out an algebraic expression. Because you know the sum of all four sides must equal 360 degrees, your expression in the example will be 120 + 120 + 60 + X = 360.


Solve for X. Add together all of the angles. Subtract the amount from 360. In the example, 60 degrees is the missing angle.

Step-by-step explanation:


7 0
3 years ago
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